Limits of Tree Branching

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A single stem branches in two, then each branch in turn branches in two, and so on. At each step, the tips of the new branches have the same geometrical relationship to the previous branch as the first branches had to the original stem. Each dot represents the tips of branches. Vary the position of the first branch, and see the radically different limiting shapes produced.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

This is related to a model of leaf shapes, as well as being an interesting piece of pure mathematics.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send